Question

a-1/a=1 then find out a^2+1/a^2​

Answer 1

Answer:

square both side

a^2 +1/a^2 -2 =1

a^2 - 1/a^2 =3

Answer 2

Answer:

5

Step-by-step explanation:

  a-1/a=1

Squaring the both sides,

or,  {(a-1) ^ 2 } / a ^ 2 = ( 1 ) ^ 2

or,  (a ^ 2 - 2a + 1) / a ^ 2 = 1

or,   a ^ 2 - 2a +1 = a ^ 2 (both a ^ 2 gets cancelled out)

or,   -2a + 1 = 0

or,    1 = 2a

or,    1 / 2 = a

Putting the value of a in a^2+1/a^2​

  a^2+1/a^2​

= (1 / 2) ^ 2 + 1 / (1 / 2) ^ 2

= (1 / 4) + 1 / (1 / 4)

= {(1 + 4 ) / 4} / (1 / 4)

= (5 / 4) * (4 / 1)

= 5